Problem 7.68 Part A A compound bow in archery allows the user to hold the bowstr
ID: 1791102 • Letter: P
Question
Problem 7.68 Part A A compound bow in archery allows the user to hold the bowstring at full draw with considerably less force than the maximum force exerted by the string. The draw force as a function of the string position for a particular compound bow is shown in (Figure 1) How much work does the archer do on the bow in order to draw the string from 0 to z = 0.60 m? Express your answer to three significant figures and include appropriate units. alue J Submit My Answers Give Up (Figure 1 of! Incorrect; Try Again; 3 attempts remaining 400 350 300 Z 250 200 150 100 50 Part B If all of this work becomes the kinetic energy of a 0.065-kg arrow, what is the speed of the arrow? Express your answer to two significant figures and include appropriate units. 0 alue Units Submit My Answers Give Up 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Co String position, x (m)Explanation / Answer
a)
W = work done = Area of (I + II + III+ i V)
W = (0.5) (350 - 0) (0.2 - 0) + (350 - 0) (0.5 - 0.2) + (0.5) (350 - 100) (0.6 - 0.5) + (0.6 - 0.5) (100 - 0) = 162.5 N/C
b)
W = (0.5) m v2
162.5 = (0.5) (0.065) v2
v = 70.7 m/s